CN109949328B

CN109949328B - Method for calculating gray level of rectangular domain on straight line edge in laser welding workpiece image

Info

Publication number: CN109949328B
Application number: CN201910222879.7A
Authority: CN
Inventors: 王邦国
Original assignee: Dalian University
Current assignee: Dalian University
Priority date: 2019-03-22
Filing date: 2019-03-22
Publication date: 2021-04-02
Anticipated expiration: 2039-03-22
Also published as: CN109949328A

Abstract

The invention discloses a method for calculating the gray level of a rectangular domain on the edge of a straight line in an image of a workpiece to be welded by laser welding, which specifically comprises the following steps: to (i)_k,j_k) The center of (2) is a coordinate origin, the horizontal direction is taken as an x axis, and the vertical direction is taken as a y axis to establish a coordinate system Oxy. To (i)_k,j_k) Is a pixel within a rectangular region of the gamma 7 of the center in the image to be welded. Pixel-level edge points in the 7 gamma 7 rectangular region are fitted with straight lines, and the fitted straight lines are represented by l; drawing a straight line l' perpendicular to l through the origin of coordinates O, the intersection point P₀(ii) a Then, rotating the rectangular area until l is in the vertical direction and l' is in the horizontal direction; l' on P₀Respectively fitting a quadratic curve to the coordinates and the gray values of the pixels on the two sides; and finally, calculating the gray value in the rectangular area according to the change curve of the pixels on two sides of the straight line l in the horizontal direction in a pixel position-pixel gray level coordinate system. And sequentially selecting each pixel level edge point, and repeating the steps to obtain the gray value of the rectangular area taking each pixel level edge point as the center. The method has the advantages of strong image interference noise resistance, stable calculation process and the like.

Description

Method for calculating gray level of rectangular domain on straight line edge in laser welding workpiece image

Technical Field

The invention belongs to the field of visual detection, and particularly relates to a method for calculating the gray level of a rectangular domain on the edge of a straight line in an image of a to-be-welded part for laser welding.

Background

Laser welding is a non-contact processing method using high-energy laser beams to act on workpieces, and is widely applied to the fields of aerospace, petrochemical equipment, machine tool equipment, automobile, ship manufacturing and the like. Before welding, a clamp or other methods are generally needed to fix the piece to be welded on a welding station. And during laser welding, a laser welding head arranged on an arm of the multi-freedom-degree welding robot or a numerical control machine tool moves according to a set track to realize welding. In order to eliminate the deviation between the preset welding track and the welding seam, a feasible method is to apply a visual method to detect the position of the welding seam and plan the welding track after the workpiece to be welded is fixed on a welding station by a clamp and the like. The detection of the sub-pixel edge of the part to be welded is a necessary step for visually detecting the weld joint, and the calculation of the gray value in a certain area in the image is sometimes needed for calculating the sub-pixel edge of the part to be welded. The method is mainly used for researching a method for calculating the gray value of the rectangular area on the edge of the straight line in the image of the to-be-welded part in the laser tailor-welding process, and provides technical support for planning the welding track of the to-be-welded part.

Disclosure of Invention

Aiming at the problem of detecting the linear weld joint of the to-be-welded part in laser tailor-welding, the application provides a method for calculating the gray level of the rectangular domain on the linear edge in the image of the to-be-welded part in laser welding.

In order to achieve the purpose, the technical scheme of the application is as follows: a method for calculating the gray level of a rectangular domain on the edge of a straight line in an image of a workpiece to be welded by laser welding specifically comprises the following steps: first, a pixel-level edge point (i) is taken_k,j_k) To (i) with_k,j_k) The center of (2) is a coordinate origin, the horizontal direction is taken as an x axis, and the vertical direction is taken as a y axis to establish a coordinate system Oxy. To (i)_k,j_k) Is a pixel within a rectangular region of the gamma 7 of the center in the image to be welded. Pixel-level edge points in the 7 gamma 7 rectangular region are fitted with straight lines, and the fitted straight lines are represented by l; drawing a straight line l' perpendicular to l through the origin of coordinates, the intersection point P₀(ii) a Then, rotating the rectangular area until l is in the vertical direction and l' is in the horizontal direction; l' on P₀Respectively fitting a quadratic curve to the coordinates and the gray values of the pixels on the two sides; and finally, calculating the gray value in the rectangular area according to the change curve of the pixels on two sides of the straight line l in the horizontal direction in a pixel position-pixel gray level coordinate system. And sequentially selecting each pixel level edge point, and repeating the steps to obtain the gray value of the rectangular area taking each pixel level edge point as the center.

Further, the rectangular area edge lines are respectively represented by t₁、t₂、t₃And t₄Representing, angular points, respectively, by P₁、P₂、P₃And P₄Represents; l is used as a boundary line to divide the taken rectangular area into two parts; drawing a straight line l' perpendicular to the line l through the origin O, wherein the intersection point of the two straight lines is P₀。

Rotating the rectangular area by taking O as a center to enable l to be in a vertical direction and l 'to be in a horizontal direction, and establishing a coordinate system Ox' y 'by taking O as a coordinate origin and taking a straight line l' as a horizontal coordinate; on the abscissa, by P₀Is a demarcation point divided into a straight line l 'of'_LAnd l'_RTwo sections;

line segment l_LAnd l_RIs composed of pixel points. Taking O as a seatOrigin of the mark in_LAnd l_RThe pixel position is an abscissa, and a pixel position-pixel gray scale coordinate system is established by taking the pixel gray scale as an ordinate. L 'in a "pixel position-pixel grayscale" coordinate system'_LAnd l'_RFitting the coordinates and gray values of the upper pixel points to obtain a secondary curve l'_LhAnd l'_RhThe fitted curve is expressed as:

l'_Lh:y＝a₁+b₁x+c₁x²

l'_Rh:y＝a₂+b₂x+c₂x²

l 'can be obtained by curve fitting'_LhAnd l'_RhCoefficient (a) of₁,b₁,c₁) And (a)₂,b₂,c₂) In the coordinate system Ox 'y' created after the rectangular region is rotated, the change rule of the pixels passing through the horizontal lines on the left and right sides of the straight line l in the "pixel position-pixel gray level" coordinate system and the fitting curve l 'are determined by taking the straight line l as a boundary'_LhAnd l'_RhThe same is true.

Further, the vertical line l in the coordinate system Ox 'y' and the edge line t of the selected 7 × 7 region₁、t₂、t₃And t₄There are four positional relationships, and the vertical line in each of the four cases is represented by l₁、l₂、l₃And l₄And (4) showing.

Further, 1) vertical line l₁And a rectangular edge line t₁And t₄Intersecting: vertical line is l₁Then, a coordinate system Ox is established by taking O as a coordinate origin₁y₁(ii) a Vertical line l₁And the edge line t₁Cross point Pt₁Vertical line l₁And the edge line t₄Cross point Pt₄Respectively passing through point Pt₁And Pt₄Drawing perpendicular to l₁The straight line drawn and the edge line t₂And t₃Cross point Pt₂And Pt₃(ii) a Respectively passing through the corner points P of the rectangle₁And P₃Drawing perpendicular to l₁The straight line of (a), the drawn straight line and₁meet at point P_1l1And P_3l1；

Straight line Pt₁Pt₂、Pt₃Pt₄、P₁P_1l1、l₁Dividing the rectangular area into six parts, the areas of which are respectively K₁₁、K₁₂、K₁₃、K₁₄、K₁₅、K₁₆Represents; by m₁₁、m₁₂、m₁₃、m₁₄、m₁₅And m₁₆Respectively represent an area of K₁₁、K₁₂、K₁₃、K₁₄、K₁₅And K₁₆The gray value in the region is calculated according to the following formula:

gray scale value m in rectangular area₁And then:

m₁＝m₁₁+m₁₂+m₁₃+m₁₄+m₁₅+m₁₆。

further, a vertical line l₂And a rectangular edge line t₁And t₃Intersecting: vertical line is l₂Then, a coordinate system Ox is established by taking O as a coordinate origin₂y₂(ii) a Vertical line l₂And the edge line t₁And t₃Cross point Pt₁And Pt₃(ii) a Respectively passing through point Pt₁And Pt₃Drawing perpendicular to l₂The straight line drawn and the edge line t₂And t₄Cross point Pt₂And Pt₄(ii) a Respectively passing through the corner points P of the rectangle₁And P₃Drawing perpendicular to l₂The straight line of (a), the drawn straight line and₂meet at point P_1l2And P_3l2；

Straight line Pt₁Pt₂、Pt₃Pt₄、P₁P_1l2、P₃P_3l2、l₂Dividing the rectangular area into six parts, the areas of which are respectively K₂₁、K₂₂、K₂₃、K₂₄、K₂₅、K₂₆Represents; by m₂₁、m₂₂、m₂₃、m₂₄、m₂₅And m₂₆Respectively represent an area of K₂₁、K₂₂、K₂₃、K₂₄、K₂₅And K₂₆The gray value in the region is calculated according to the following formula:

gray scale value m in rectangular area₂And then:

m₂＝m₂₁+m₂₂+m₂₃+m₂₄+m₂₅+m₂₆。

further, a vertical line l₃And a rectangular edge line t₂And t₄Intersecting: vertical line is l₃Then, a coordinate system Ox is established by taking O as a coordinate origin₃y₃(ii) a Vertical line l₃And the edge line t₂And t₄Cross point Pt₂And Pt₄(ii) a Respectively passing through point Pt₂And Pt₄Drawing perpendicular to l₃The straight line drawn and the edge line t₁And t₃Cross point Pt₁And Pt₃(ii) a Respectively passing through the corner points P of the rectangle₁And P₃Drawing perpendicular to l₃The straight line of (a), the drawn straight line and₃meet at point P_1l3And P_3l3；

Straight line Pt₁Pt₂、Pt₃Pt₄、P₁P_1l3、P₃P_3l3、l₃Dividing the rectangular area into six parts, the areas of which are respectively K₃₁、K₃₂、K₃₃、K₃₄、K₃₅、K₃₆Represents; by m₃₁、m₃₂、m₃₃、m₃₄、m₃₅And m₃₆Respectively represent an area of K₃₁、K₃₂、K₃₃、K₃₄、K₃₅And K₃₆The gray value in the region is calculated according to the following formula:

gray scale value m in rectangular area₃And then:

m₃＝m₃₁+m₃₂+m₃₃+m₃₄+m₃₅+m₃₆。

further, a vertical line l₄And a rectangular edge line t₂And t₃Intersect with a vertical line of l₄Then, a coordinate system Ox is established by taking O as a coordinate origin₄y₄(ii) a Vertical line l₄And the edge line t₂And t₃Cross point Pt₂And Pt₃(ii) a Respectively passing through point Pt₂And Pt₃Drawing perpendicular to l₄The straight line drawn and the edge line t₁And t₄Cross point Pt₁And Pt₄(ii) a Respectively passing through the corner points P of the rectangle₁And P₃Drawing perpendicular to l₄The straight line of (a), the drawn straight line and₄meet at point P_1l4And P_3l4；

Straight line Pt₁Pt₂、Pt₃Pt₄、P₁P_1l4、P₃P_3l4、l₄Will be rectangularThe area is divided into six parts, the areas of which are respectively K₄₁、K₄₂、K₄₃、K₄₄、K₄₅、K₄₆Represents; by m₄₁、m₄₂、m₄₃、m₄₄、m₄₅And m₄₆Respectively represent an area of K₄₁、K₄₂、K₄₃、K₄₄、K₄₅And K₄₆The gray value in the region is calculated according to the following formula:

gray scale value m in rectangular area₄And then:

m₄＝m₄₁+m₄₂+m₄₃+m₄₄+m₄₅+m₄₆。

due to the adoption of the technical scheme, the invention can obtain the following technical effects: and converting the calculation of the gray value in the rectangular area into the calculation of the gray value in the rectangular area after the pixel gray value fitting curve in the rectangular area is integrated. In a rectangular area with the selected pixel-level edge point as the center, a straight line which is fit by all the pixel-level edge points divides the rectangular area into two parts, a straight line which passes through the center of the rectangle and is perpendicular to the fit straight line is divided into two parts, curves are respectively fit by the coordinates and the gray levels of pixels which are passed by the two parts of straight lines in the rectangular area, and the gray values of the rectangular area are obtained after the two fit curves are respectively integrated in the area. The method has the advantages of strong image interference noise resistance, stable calculation process and the like.

Drawings

FIG. 1 is a schematic diagram of a rectangular region centered on a pixel level edge point;

FIG. 2(a) is a pixel level edge point fitting straight line l; (b) rotating the fitting straight line l to the vertical direction;

FIG. 3 is a curve fitted by pixels on both sides of a straight line l' in a "pixel position-pixel gray level" coordinate system;

FIG. 4 is a vertical line l₁And a rectangular edge line t₁And t₄An intersection schematic;

FIG. 5 is a vertical line l₂And the edge line t of the rectangular region₁And t₃An intersection schematic;

FIG. 6 is a vertical line l₃And the edge line t of the rectangular region₂And t₄An intersection schematic;

FIG. 7 is a vertical line l₄And the edge line t of the rectangular region₂And t₃An intersection schematic;

fig. 8 is a flowchart of calculating the gray-level value of the rectangular region.

Detailed Description

The invention is described in further detail below with reference to the following figures and specific examples: the present application is further described by taking this as an example.

Example 1

The embodiment provides a method for calculating the gray level of a rectangular domain on a straight line edge in an image of a laser welding workpiece, which is characterized in that a Canny edge detection algorithm is utilized to obtain a pixel-level edge point (i) of the straight line edge of the workpiece to be welded in the image_k,j_k) K is 1,2, … n (n is a pixel level edge)The number of edge points). Computing a pixel-level edge point (i)_k,j_k) The specific implementation steps of the gray value of the central rectangular area are as follows:

the first step is as follows: determining pixel level edge points and fitting a straight line

Taking a pixel level edge point (i)_k,j_k) To (i) with_k,j_k) The center of (2) is a coordinate origin, the horizontal direction is taken as an x axis, and the vertical direction is taken as a y axis to establish a coordinate system Oxy. To (i)_k,j_k) Is a pixel within a rectangular region of the x 7 of the image to be welded, as shown in fig. 1. In fig. 1, the numbers are the numbers of the pixels, and the number of the pixels is 49.

Pixel-level edge points within the 7 x 7 rectangular region are fitted to a straight line, denoted by l, as shown in FIG. 2 (a). l as a boundary line divides the taken rectangular area into two parts. The rectangular region edge lines are respectively represented by t₁、t₂、t₃And t₄Representing, angular points, respectively, by P₁、P₂、P₃、P₄And P₄And (4) showing. Drawing a straight line l' perpendicular to the line l through the origin O, wherein the intersection point of the two straight lines is P₀。

As shown in fig. 2(b), a coordinate system Ox ' y ' is established by rotating the rectangular area with O as the center and the straight lines l to l as the vertical direction, and with O as the origin of coordinates and the straight line l ' as the abscissa; on the y' axis, with P₀Is a demarcation point divided into a straight line l 'of'_LAnd l'_RTwo parts.

Line segment l_LAnd l_RIs composed of pixel points. Using O as the origin of coordinates and l_LAnd l_RThe pixel position is an abscissa, and a pixel position-pixel gray scale coordinate system is established by taking the pixel gray scale as an ordinate. L 'in a "pixel position-pixel grayscale" coordinate system'_LAnd l'_RFitting the coordinates and gray values of the upper pixel points to obtain a secondary curve l'_LhAnd l'_RhAs shown in fig. 3. The fitted curve is represented as: l'_Lh:y＝a₁+b₁x+c₁x²；l'_Rh:y＝a₂+b₂x+c₂x²。

Rectangular area is revolvedIn the coordinate system Ox 'y' established after the conversion, taking the straight line l as a boundary, the change rule of the pixels passing through the horizontal lines on the left and right sides of the straight line l in the coordinate system of 'pixel position-pixel gray scale' and the fitting curve l 'are'_LhAnd l'_RhAs shown in fig. 3.

The second step is that: calculation of the grey values of rectangular areas

The selected 7 x 7 range region is rotated with O as the origin of coordinates, and l after the rotation is the vertical line. Vertical line and selected 7 x 7 zone edge line t₁、t₂、t₃And t₄There are four positional relationships, and the vertical line in each of the four cases is represented by l₁、l₂、l₃And l₄And (4) showing. In four cases, the gray-level value calculation method for the rectangular region is as follows:

1) vertical line l₁And a rectangular edge line t₁And t₄At the time of intersection

As shown in fig. 4, the vertical line is l₁Then, a coordinate system Ox is established by taking O as a coordinate origin₁y₁. The edge lines and the corner points of the rotated rectangular area still use t₁、t₂、t₃、t₄And P₁、P₂、P₃、P₄、P₄And (4) showing. Vertical line l₁And the edge line t₁And t₄Cross point Pt₁And Pt₄. Respectively passing through point Pt₁And Pt₄Drawing perpendicular to l₁The straight line drawn and the edge line t₂And t₃Cross point Pt₂And Pt₃. Respectively passing through the corner points P of the rectangle₁And P₃Drawing perpendicular to l₁The straight line of (a), the drawn straight line and₁meet at point P_1l1And P_3l1。

Straight line Pt₁Pt₂、Pt₃Pt₄、P₁P_1l1、l₁Dividing the rectangular area into six parts, the areas of which are respectively K₁₁、K₁₂、K₁₃、K₁₄、K₁₅、K₁₆And (4) showing. By m₁₁、m₁₂、m₁₃、m₁₄、m₁₅And m₁₆Respectively represent an area of K₁₁、K₁₂、K₁₃、K₁₄、K₁₅And K₁₆The gray-value in the area is,

gray scale value m in rectangular area₁And then: m is₁＝m₁₁+m₁₂+m₁₃+m₁₄+m₁₅+m₁₆。

2) Vertical line l₂And a rectangular edge line t₁And t₃At the time of intersection

As shown in fig. 5, the vertical line is l₂Then, a coordinate system Ox is established by taking O as a coordinate origin₂y₂. The edge lines and the corner points of the rotated rectangular area still use t₁、t₂、t₃、t₄And P₁、P₂、P₃、P₄、P₄And (4) showing. Vertical line l₂And the edge line t₁And t₃Cross point Pt₁And Pt₃. Respectively passing through point Pt₁And Pt₃Drawing perpendicular to l₂The straight line drawn and the edge line t₂And t₄Cross point Pt₂And Pt₄. Respectively passing through the corner points P of the rectangle₁And P₃Drawing perpendicular to l₂The straight line of (a), the drawn straight line and₂meet at point P_1l2And P_3l2。

Straight line Pt₁Pt₂、Pt₃Pt₄、P₁P_1l2、P₃P_3l2、l₂Dividing the rectangular area into six parts, the areas of which are respectively K₂₁、K₂₂、K₂₃、K₂₄、K₂₅、K₂₆And (4) showing. By m₂₁、m₂₂、m₂₃、m₂₄、m₂₅And m₂₆Respectively represent an area of K₂₁、K₂₂、K₂₃、K₂₄、K₂₅And K₂₆The gray-value in the area is,

gray scale value m in rectangular area₂And then: m is₂＝m₂₁+m₂₂+m₂₃+m₂₄+m₂₅+m₂₆。

3) Vertical line l₃And a rectangular edge line t₂And t₄At the time of intersection

As shown in fig. 6, the vertical line is l₃Then, a coordinate system Ox is established by taking O as a coordinate origin₃y₃. The edge lines and the corner points of the rotated rectangular area still use t₁、t₂、t₃、t₄And P₁、P₂、P₃、P₄、P₄And (4) showing. Vertical line l₃And the edge line t₂And t₄Cross point Pt₂And Pt₄. Respectively passing through point Pt₂And Pt₄Drawing perpendicular to l₃The straight line drawn and the edge line t₁And t₃Cross point Pt₁And Pt₃. Respectively passing through the corner points P of the rectangle₁And P₃Drawing perpendicular to l₃The straight line of (a), the drawn straight line and₃meet at point P_1l3And P_3l3。

Straight line Pt₁Pt₂、Pt₃Pt₄、P₁P_1l3、P₃P_3l3、l₃Dividing the rectangular area into six parts, the areas of which are respectively K₃₁、K₃₂、K₃₃、K₃₄、K₃₅、K₃₆And (4) showing. By m₃₁、m₃₂、m₃₃、m₃₄、m₃₅And m₃₆Respectively represent an area of K₃₁、K₃₂、K₃₃、K₃₄、K₃₅And K₃₆The gray-value in the area is,

gray scale value m in rectangular area₃And then: m is₃＝m₃₁+m₃₂+m₃₃+m₃₄+m₃₅+m₃₆。

4) Vertical line l₄And a rectangular edge line t₂And t₃At the time of intersection

As shown in fig. 7, the vertical line is l₄Then, a coordinate system Ox is established by taking O as a coordinate origin₄y₄. The edge lines and the corner points of the rotated rectangular area still use t₁、t₂、t₃、t₄And P₁、P₂、P₃、P₄、P₄And (4) showing. Vertical line l₄And the edge line t₂And t₃Cross point Pt₂And Pt₃. Respectively passing through point Pt₂And Pt₃Drawing perpendicular to l₄The straight line drawn and the edge line t₁And t₄Cross point Pt₁And Pt₄. Respectively passing through the corner points P of the rectangle₁And P₃Drawing perpendicular to l₄The straight line of (a), the drawn straight line and₄meet at point P_1l4And P_3l4。

Straight line Pt₁Pt₂、Pt₃Pt₄、P₁P_1l4、P₃P_3l4、l₄Dividing the rectangular area into six parts, the areas of which are respectively K₄₁、K₄₂、K₄₃、K₄₄、K₄₅、K₄₆And (4) showing. By m₄₁、m₄₂、m₄₃、m₄₄、m₄₅And m₄₆Respectively represent an area of K₄₁、K₄₂、K₄₃、K₄₄、K₄₅And K₄₆The gray-value in the area is,

gray scale value m in rectangular area₄And then: m is₄＝m₄₁+m₄₂+m₄₃+m₄₄+m₄₅+m₄₆。

The flowchart of calculating the gray scale value of the rectangular region is shown in fig. 8.

And sequentially selecting the edge points of each pixel level, and repeating the steps to obtain the gray value of the rectangular area taking the edge points of each pixel level as the center.

The above description is only for the purpose of creating a preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art can substitute or change the technical solution and the inventive concept of the present invention within the technical scope of the present invention.

Claims

1. A method for calculating the gray level of a rectangular domain on the edge of a straight line in an image of a workpiece to be welded by laser welding is characterized by specifically comprising the following steps: first, a pixel-level edge point (i) is taken_k,j_k) To (i) with_k,j_k) The center of the coordinate system is taken as a coordinate origin, the horizontal direction is taken as an x axis, and the vertical direction is taken as a y axis to establish a coordinate system Oxy; to (i)_k,j_k) Taking pixels in a rectangular region of 7 gamma 7 in an image to be welded; pixel-level edge points in the 7 gamma 7 rectangular region are fitted with straight lines, and the fitted straight lines are represented by l; drawing a straight line l' perpendicular to l through the origin of coordinates O, the intersection point P₀(ii) a Then, rotating the rectangular area until l is in the vertical direction and l' is in the horizontal direction; l' on P₀Respectively fitting a quadratic curve to the coordinates and the gray values of the pixels on the two sides; finally, calculating the gray value in the rectangular area according to the change curve of the pixels on two sides of the straight line l in the horizontal direction in a pixel position-pixel gray level coordinate system; sequentially selecting each pixel level edge point, and repeating the steps to obtain a rectangular area gray value taking each pixel level edge point as a center;

the rectangular region edge lines are respectively represented by t₁、t₂、t₃And t₄Representing, angular points, respectively, by P₁、P₂、P₃And P₄Represents; l is used as a boundary line to divide the taken rectangular area into two parts; drawing a straight line l' perpendicular to the line l through the origin O, wherein the intersection point of the two straight lines is P₀；

Rotating the rectangular area and the l to the vertical direction and the l 'to the horizontal direction simultaneously by taking O as a center, and establishing a coordinate system Ox' y 'by taking O as a coordinate origin and taking a straight line l' as a horizontal coordinate; on the horizontal axis, in P₀Is a demarcation point divided into a straight line l 'of'_LAnd l'_RTwo sections;

line segment l_LAnd l_RIs composed of pixel points; using O as the origin of coordinates and l_LAnd l_RThe pixel position is an abscissa, and a pixel position-pixel gray scale coordinate system is established by taking the pixel gray scale as an ordinate; from P in the "pixel position-pixel grey" coordinate system_LAnd P_RFitting coordinates and gray values of intermediate pixel points to obtain a secondary curve l'_LhAnd l'_RhThe fitted curve is expressed as:

l'_Lh:y＝a₁+b₁x+c₁x²

l'_Rh:y＝a₂+b₂x+c₂x²

l 'can be obtained by curve fitting'_LhAnd l'_RhCoefficient (a) of₁,b₁,c₁) And (a)₂,b₂,c₂) In the coordinate system Ox 'y' created after the rectangular region is rotated, the change rule of the pixels passing through the horizontal lines on the left and right sides of the straight line l in the "pixel position-pixel gray level" coordinate system and the fitting curve l 'are determined by taking the straight line l as a boundary'_LhAnd l'_RhAre identical to each other；

Vertical line l and selected 7 x 7 zone edge line t in coordinate system Ox' y₁、t₂、t₃And t₄There are four positional relationships, and the vertical line in each of the four cases is represented by l₁、l₂、l₃And l₄Represents;

vertical line l₁And a rectangular edge line t₁And t₄Intersecting: vertical line is l₁Then, a coordinate system Ox is established by taking O as a coordinate origin₁y₁(ii) a Vertical line l₁And the edge line t₁Cross point Pt₁Vertical line l₁And the edge line t₄Cross point Pt₄Respectively passing through point Pt₁And Pt₄Drawing perpendicular to l₁The straight line drawn and the edge line t₂And t₃Cross point Pt₂And Pt₃(ii) a Respectively passing through the corner points P of the rectangle₁And P₃Drawing perpendicular to l₁The straight line of (a), the drawn straight line and₁meet at point P_1l1And P_3l1；

gray scale value m in rectangular area₁And then:

m₁＝m₁₁+m₁₂+m₁₃+m₁₄+m₁₅+m₁₆。

2. the method for calculating the gray scale of the rectangular area on the edge of the straight line in the image of the workpiece to be welded by laser welding according to claim 1, wherein the vertical line l₂And a rectangular edge line t₁And t₃Intersecting: vertical line is l₂Then, a coordinate system Ox is established by taking O as a coordinate origin₂y₂(ii) a Vertical line l₂And the edge line t₁And t₃Cross point Pt₁And Pt₃(ii) a Respectively passing through point Pt₁And Pt₃Drawing perpendicular to l₂The straight line drawn and the edge line t₂And t₄Cross point Pt₂And Pt₄(ii) a Respectively passing through the corner points P of the rectangle₁And P₃Drawing perpendicular to l₂The straight line of (a), the drawn straight line and₂meet at point P_1l2And P_3l2；

Straight line Pt₁Pt₂、Pt₃Pt₄、P₁P_1l2、P₃P_3l2、l₂Divide the rectangular area into six partsRespectively, its area is K₂₁、K₂₂、K₂₃、K₂₄、K₂₅、K₂₆Represents; by m₂₁、m₂₂、m₂₃、m₂₄、m₂₅And m₂₆Respectively represent an area of K₂₁、K₂₂、K₂₃、K₂₄、K₂₅And K₂₆The gray value in the region is calculated according to the following formula:

gray scale value m in rectangular area₂And then:

m₂＝m₂₁+m₂₂+m₂₃+m₂₄+m₂₅+m₂₆。

3. laser welding of an image of a workpiece to be welded according to claim 1The method for calculating the gray level of the rectangular domain on the edge of the straight line is characterized in that the vertical line l₃And a rectangular edge line t₂And t₄Intersecting: vertical line is l₃Then, a coordinate system Ox is established by taking O as a coordinate origin₃y₃(ii) a Vertical line l₃And the edge line t₂And t₄Cross point Pt₂And Pt₄(ii) a Respectively passing through point Pt₂And Pt₄Drawing perpendicular to l₃The straight line drawn and the edge line t₁And t₃Cross point Pt₁And Pt₃(ii) a Respectively passing through the corner points P of the rectangle₁And P₃Drawing perpendicular to l₃The straight line of (a), the drawn straight line and₃meet at point P_1l3And P_3l3；

gray scale value m in rectangular area₃And then:

m₃＝m₃₁+m₃₂+m₃₃+m₃₄+m₃₅+m₃₆。

4. the method for calculating the gray scale of the rectangular area on the edge of the straight line in the image of the workpiece to be welded by laser welding according to claim 1, wherein the vertical line l₄And a rectangular edge line t₂And t₃Intersect with a vertical line of l₄Then, a coordinate system Ox is established by taking O as a coordinate origin₄y₄Vertical line l₄And the edge line t₂And t₃Cross point Pt₂And Pt₃(ii) a Respectively passing through point Pt₂And Pt₃Drawing perpendicular to l₄The straight line drawn and the edge line t₁And t₄Cross point Pt₁And Pt₄(ii) a Respectively passing through the corner points P of the rectangle₁And P₃Drawing perpendicular to l₄The straight line of (a), the drawn straight line and₄meet at point P_1l4And P_3l4；

Straight line Pt₁Pt₂、Pt₃Pt₄、P₁P_1l4、P₃P_3l4、l₄Dividing the rectangular area into six parts, the areas of which are respectively K₄₁、K₄₂、K₄₃、K₄₄、K₄₅、K₄₆Represents; by m₄₁、m₄₂、m₄₃、m₄₄、m₄₅And m₄₆Respectively represent an area ofK₄₁、K₄₂、K₄₃、K₄₄、K₄₅And K₄₆The gray value in the region is calculated according to the following formula:

gray scale value m in rectangular area₄And then:

m₄＝m₄₁+m₄₂+m₄₃+m₄₄+m₄₅+m₄₆。